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Finding the Fourth Proportional to 12,282.51, 16,952.60 and 7,805.39

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Solution

The fourth proportional to 12,282.51, 16,952.60 and 7,805.39 is: 10,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.51 : 16,952.60 = 7,805.39 : x
  2. Step 2: Convert to fraction form
    12,282.51/16,952.60 = 7,805.39/x
  3. Step 3: Cross multiply
    12,282.51x = 16,952.60 × 7,805.39
  4. Step 4: Simplify right side
    12,282.51x = 132,321,530.72
  5. Step 5: Solve for x
    x = 132,321,530.72/12,282.51
  6. Step 6: Final answer
    x = 10,773.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.